V. Suppose that a and b are integers, a = 7 (mod 19), and b = 5 (mod 19). Find the integer c with 0 scs 18 such that: 12. (a – b) = c mod 19 13. (7а + 3b) 3 с тоd 19 14. (2а? + 3b?)%3с тod 19 15. (a³ + 4b3) = c mod 19

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A: Answer

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A:

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A: to find the value of m , n when 5n≡3 mod 975m≡7 mod 97 (i) we can write 5n≡3 mod 97 as   5n=97s+3…

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A: Find the possible value of x If x108= 1(mod109).

Q: 21 Q1/ If A = |3 -2 5|,then |A| is [2 [4 3 4 6. -120 О 10 О 110 * Q2/ If |A| = 3,then |A*| is O 12…

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Q: 13b) Suppose the number of permutations without replacement is 720 and the number of combinations…

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Q: 2 5 A ^^ - [ ²7 ] and -7 6 Given : Find the following 1. (24)¹ 2. (AB)-¹ 3. (4¹) ¹ B 7 -[? -37] 2 0

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A: This follows in the same way as we study quadratic equations. Here we use facts about quadratic…

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Q: If 3x + 2 = 0 (mod 7), which of the following values can x assume? О а. -3 O b. 0 О с. 2 O d. -1

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Q: Suppose b is any integer. If b mod 12 = 7, what is 8b mod 12? In other words, if division of b by 12…

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Q: Please help!

A: Solution is given below

Q: . Find all the solutions of 3x² + 2x + 1 8 (mod 63).

A: Given a quadratic congruence in the form:Ax2+Bx+C=0(mod n)multiply the above equation by…

Q: V. Suppose that a and b are integers, a = 7 (mod 19), and b = 5 (mod 19). Find the integer c with 0…

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Q: 1) Simplify the following expressions : 15 а) 2z Зх — 7 b) ( 6x + 5)2 13х + 9 6х + 5 x2 + 4x x2- 14x…

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Q: 13. Suppose that z1 V3 +i and z2 = 2/2+ 2v2i. 22 (a) Write z1 and z2 in mod-arg form. (b) Hence…

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Q: Suppose that a and b are integers, c b = 3 (mod 19). Find the integer c that a) с%3D 13а (mod 19).…

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Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters co can be generated?…

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